2977346673 has 64 divisors (see below), whose sum is σ = 5283520000. Its totient is φ = 1655168256.

The previous prime is 2977346657. The next prime is 2977346693. The reversal of 2977346673 is 3766437792.

It is a happy number.

2977346673 is a `hidden beast` number, since 297 + 7 + 346 + 6 + 7 + 3 = 666.

It is not a de Polignac number, because 2977346673 - 2⁴ = 2977346657 is a prime.

It is a super-2 number, since 2×2977346673² = 17729186422448337858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2977346693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338313 + ... + 347001.

It is an arithmetic number, because the mean of its divisors is an integer number (82555000).

Almost surely, 2^2977346673 is an apocalyptic number.

It is an amenable number.

2977346673 is a deficient number, since it is larger than the sum of its proper divisors (2306173327).

2977346673 is an equidigital number, since it uses as much as digits as its factorization.

2977346673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8736 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 2977346673 is about 54565.0682488348. The cubic root of 2977346673 is about 1438.6101998799.

The spelling of 2977346673 in words is "two billion, nine hundred seventy-seven million, three hundred forty-six thousand, six hundred seventy-three".